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Finding the Fourth Proportional to 362,402.40, 542,528.40 and 269,320.80

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Solution

The fourth proportional to 362,402.40, 542,528.40 and 269,320.80 is: 403,182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,402.40 : 542,528.40 = 269,320.80 : x
  2. Step 2: Convert to fraction form
    362,402.40/542,528.40 = 269,320.80/x
  3. Step 3: Cross multiply
    362,402.40x = 542,528.40 × 269,320.80
  4. Step 4: Simplify right side
    362,402.40x = 146,114,182,710.72
  5. Step 5: Solve for x
    x = 146,114,182,710.72/362,402.40
  6. Step 6: Final answer
    x = 403,182.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.